1002112103031 has 16 divisors (see below), whose sum is σ = 1441168073856. Its totient is φ = 615725282016.

The previous prime is 1002112103017. The next prime is 1002112103053. The reversal of 1002112103031 is 1303012112001.

It is a happy number.

1002112103031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002112103031 - 2²⁷ = 1001977885303 is a prime.

It is a super-2 number, since 2×1002112103031² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002112103031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112103231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19955625 + ... + 20005778.

It is an arithmetic number, because the mean of its divisors is an integer number (90073004616).

Almost surely, 2^{1002112103031} is an apocalyptic number.

1002112103031 is a deficient number, since it is larger than the sum of its proper divisors (439055970825).

1002112103031 is a wasteful number, since it uses less digits than its factorization.

1002112103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39962062.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1002112103031 its reverse (1303012112001), we get a palindrome (2305124215032).

The spelling of 1002112103031 in words is "one trillion, two billion, one hundred twelve million, one hundred three thousand, thirty-one".